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- The position vector of p and q is 3i -2j+k and 2i+j-3k respectively. Determine the column vector PQ and hence calculate its length to 2 decimal...(Solved)
The position vector of p and q is 3i-2j+k and 2i+j-3k respectively. Determine the column vector PQ and hence calculate its length to 2 decimal places.
Date posted: August 22, 2019. Answers (1)
- Simplify the expression.(Solved)
Simplify the expression.
Date posted: August 22, 2019. Answers (1)
- Solve the inequalities below and represent the solutions on a single number line. 1-2x<5, 5-3x=-10.(Solved)
Solve the inequalities below and represent the solutions on a single number line.
1-2x<5, 5-3x=-10.
Date posted: August 22, 2019. Answers (1)
- Construct triangle PQR such that PQ = 7 cm, QR = 5 cm and 0(Solved)
Construct triangle PQR such that PQ = 7 cm, QR = 5 cm and 0
Date posted: August 22, 2019. Answers (1)
- Find x if cos(3x-300)= sin(7x+500).(Solved)
Find x if cos(3x-300)= sin(7x+500).
Date posted: August 22, 2019. Answers (1)
- The exterior angle of a regular polygon is (??-50)0 and the interior angle is (2??+200 .Find the number of sides of the polygon.(Solved)
The exterior angle of a regular polygon is (𝑥−50)0 and the interior angle is (2𝑥+200 .Find the number of sides of the polygon.
Date posted: August 22, 2019. Answers (1)
- Find the value of n in(Solved)
Find the value of n in
Date posted: August 22, 2019. Answers (1)
- It takes 40 road construction workers 8 days working 10 hours a day to complete a section of a road. How many days would 60...(Solved)
It takes 40 road construction workers 8 days working 10 hours a day to complete a section of a road. How many days would 60 road construction workers working 8 hours a day take to complete the same section of the road working at the same rate?
Date posted: August 22, 2019. Answers (1)
- Use square roots, reciprocal and square root tables to evaluate to 4 significant figures the expression;(Solved)
Use square roots, reciprocal and square root tables to evaluate to 4 significant figures the expression;
Date posted: August 22, 2019. Answers (1)
- The members of a photography club decided to buy a camera worth Ksh 4000 by each one contributing the same amount of money. Fifteen members...(Solved)
The members of a photography club decided to buy a camera worth Ksh 4000 by each one contributing the same amount of money. Fifteen members fail to pay their contribution and as a result each of the other members has to pay Ksh 60 more. Find the number of members in the club.
Date posted: August 22, 2019. Answers (1)
- The figure below shows a frustrum made from a right pyramid, such that(Solved)
The figure below shows a frustrum made from a right pyramid,such that AB=DC=16cm,BC=AD=10cm,FG=EH=18cm,GH=FE=7.5cm, CH=BG=AF=DE=15cm.If the altitude of the frustrum is 14.6cm,find:
(a) The altitude of the pyramid made from the frustum.
(b) The surface area of the frustum.
(c) The volume of the frustum.
Date posted: August 22, 2019. Answers (1)
- Three people; A , B and C work together to make a certain number of tins. If person C was to work alone he will...(Solved)
Three people; A , B and C work together to make a certain number of tins. If person C was to work alone he will take 4 4/9 hours to complete the job. If all working together they will take 1hr 40min to complete the job. They all started working together however person B left after first 40min,while person C left 20min later. Person A took a further 1hr 46min. Calculate how long it would take if all the tins were made by;
a) Person A alone?
b) Person B alone?
c) Person A and C alone?
Date posted: August 22, 2019. Answers (1)
- a) Draw the graph of the function below on the grid provided(Solved)
a) Draw the graph of the function below on the grid provided
y = 2x2 – 7x – 2 for the values of -1≤X≤6
b) From your graph determine the roots of the function. 2x2 – 7x – 2 = 0
c) By drawing a suitable graph of function y = 2x – 7 on the same axis, solve the simultaneous equations y = 2x2 – 7x – 2 and y = 2x – 7.
Date posted: August 22, 2019. Answers (1)
- Town B is 20km N600W from village A. Town B is 25km 0400 from town C. Village D is
due East of town C and dues...(Solved)
Town B is 20km N600W from village A. Town B is 25km 0400 from town C. Village D is
due East of town C and dues South of village A
(a) Using a scale 1:500,000 draw a diagram showing a relative position of town B,
town C, village A and village D
(b) Determine
(i) Distance between village A and town C
(ii) Distance between town C and village D
(iii)Compass bearing of town C from village A
(iv) Compass bearing of village D from town
(c) Determine the area enclosed by the diagram in (a) above in hectares
Date posted: August 22, 2019. Answers (1)
- Solve for y in the equation.
log10(3?? + 2) - 1 = log10(?? - 4)(Solved)
Solve for y in the equation.
log10(3𝑦 + 2) − 1 = log10(𝑦 − 4)
Date posted: August 22, 2019. Answers (1)
- The angle of elevation of the top of a flagpole from a point A on a level ground is 130.(Solved)
The angle of elevation of the top of a flagpole from a point A on a level ground is 130.The angle of elevation of the top of the flagpole from another point B nearer the pole and 12m from A is 300. Find;
a)
i) The height of the flagpole
ii) The distance from point B to the top of the flagpole.
b) Tan 1050= -2- √3 .Determine the value of Tan 150 in surd form.
Date posted: August 22, 2019. Answers (1)
- The figure below shows a solid prism:-(Solved)
The figure below shows a solid prism:-
Sketch the net of the prism above and show with arrows the path ACDB and F via E
Date posted: August 22, 2019. Answers (1)
- (a) The bill for completely covering the floor of a rectangular room with carpet costing shs.70 per square metre is shs.1960.If one side of the...(Solved)
(a) The bill for completely covering the floor of a rectangular room with carpet costing shs.70 per square metre is shs.1960.If one side of the room is X m long; show that the length of the other side is 
b) By leaving a uniform width of ½ m uncovered all round, shs.700 could have been saved. Use this information to form an equation in x and show that it reduces to X2 – 11x + 28 = 0.
c) Solve the equation and hence find the dimensions of the room
Date posted: August 22, 2019. Answers (1)
- Solve the inequality below hence represent the solution in a number line.(Solved)
Solve the inequality below hence represent the solution in a number line.
Date posted: August 22, 2019. Answers (1)
- Find the mass of a wooden beam 4m long, 25cm wide and 18cm high if the density of the wood is 625kg/m3.(Solved)
Find the mass of a wooden beam 4m long, 25cm wide and 18cm high if the density of the wood is 625kg/m3.
Date posted: August 22, 2019. Answers (1)